Editing User:4st/Graphomic (section)

=== Definitions ===

==== The Graph ====
The game is played on a matrix of discrete size. Each entity has a row and a column. The values in the graph can be integers from -10 to 10 inclusive, rules to the contrary notwithstanding.

Each player has an entity.

==== Edges ====
Each row represents the starting vertex, and each column represents the destination vertex for a directed edge. The value at this matrix element is the weight of that edge. A value of 0 represents no edge.

(This makes the matrix representative of a weighted, directed graph: See these links for more details:

https://en.wikipedia.org/wiki/Adjacency_matrix

https://en.wikipedia.org/wiki/Directed_graph)

==== Paths ====
A path from entity A to entity B is a list of edges where the first edge in the list has starting entity A, and the last edge in the list has destination entity B, and each edge in-between has a starting entity of the destination entity of the previous edge in the list.